83953508144 has 80 divisors (see below), whose sum is σ = 188301162240. Its totient is φ = 35882753280.

The previous prime is 83953508137. The next prime is 83953508201. The reversal of 83953508144 is 44180535938.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 83953508092 and 83953508101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63074 + ... + 414590.

It is an arithmetic number, because the mean of its divisors is an integer number (2353764528).

Almost surely, 2^83953508144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83953508144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94150581120).

83953508144 is an abundant number, since it is smaller than the sum of its proper divisors (104347654096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83953508144 is a wasteful number, since it uses less digits than its factorization.

83953508144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351618 (or 351612 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 50.

The spelling of 83953508144 in words is "eighty-three billion, nine hundred fifty-three million, five hundred eight thousand, one hundred forty-four".